A268019 -id:A268019 - cp's OEIS frontend

A268014 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

9, 81, 729, 6084, 49284, 386884, 2965284, 22268961, 164378041, 1195430625, 8581613769, 60904316944, 427872974400, 2978730810000, 20567785069584, 140966727989481, 959632952511249, 6492348190361881, 43674091151207841

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 2 of A268019.

			Some solutions for n=5
..1..1....0..2....2..1....1..1....1..1....1..0....0..2....1..0....1..0....2..1
..2..2....0..2....2..2....0..1....2..2....0..0....2..2....0..0....2..0....0..0
..0..1....1..0....2..0....1..1....1..1....2..2....0..1....1..0....0..1....0..2
..1..0....2..1....1..0....1..1....0..1....0..2....1..2....1..2....2..2....0..1
..0..2....2..0....2..0....2..0....1..0....1..2....0..0....0..0....2..0....0..2

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A268019.

Empirical: a(n) = 25*a(n-1) -225*a(n-2) +745*a(n-3) +475*a(n-4) -6275*a(n-5) -885*a(n-6) +22525*a(n-7) +22525*a(n-8) -885*a(n-9) -6275*a(n-10) +475*a(n-11) +745*a(n-12) -225*a(n-13) +25*a(n-14) -a(n-15).

A268013 Number of n X 1 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

Original entry on oeis.org

3, 9, 27, 78, 222, 622, 1722, 4719, 12821, 34575, 92637, 246788, 654120, 1725900, 4535172, 11872941, 30977943, 80575109, 208983471, 540606474, 1395061474, 3591893274, 9228660318, 23664610747, 60570324105, 154763821419, 394795932561

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 1 of A268019.

			Some solutions for n=8:
..1....2....2....1....2....1....0....0....2....1....2....0....2....2....2....2
..0....1....2....2....0....1....0....0....0....0....0....2....1....0....0....0
..2....1....2....0....0....2....1....1....2....1....2....0....2....2....0....2
..0....1....2....2....0....2....0....2....0....1....0....0....0....0....1....2
..0....0....0....2....2....1....0....2....2....2....2....1....0....1....0....0
..1....2....1....1....1....0....2....0....2....2....1....1....0....2....1....2
..1....1....2....2....2....2....2....2....0....0....0....2....0....2....2....2
..2....1....1....0....0....1....0....1....1....2....0....0....0....1....0....1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A268019.

Empirical: a(n) = 6*a(n-1) - 9*a(n-2) - 4*a(n-3) + 9*a(n-4) + 6*a(n-5) + a(n-6).

Empirical g.f.: x*(3 - 9*x + 9*x^3 + 6*x^4 + x^5) / (1 - 2*x - x^2)^3. - Colin Barker, Feb 26 2018

A268015 Number of nX3 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

Original entry on oeis.org

27, 729, 19683, 474552, 10941048, 240641848, 5106219048, 105087226959, 2107490863661, 41332013859375, 794974954718853, 15030454569975872, 279880270014528000, 5140991504979000000, 93278442949595408448

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 3 of A268019.

			Some solutions for n=3
..2..0..2....2..0..2....2..2..0....0..0..2....1..1..0....0..2..0....2..0..2
..0..0..2....1..0..2....2..0..1....2..2..0....0..1..2....2..1..1....0..2..2
..1..2..0....0..1..2....1..0..2....0..0..0....0..2..0....1..2..0....2..1..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A268019.

Empirical: a(n) = 84*a(n-1) -2814*a(n-2) +45276*a(n-3) -285019*a(n-4) -1063944*a(n-5) +20124468*a(n-6) -1605816*a(n-7) -630123753*a(n-8) -402925572*a(n-9) +10392502302*a(n-10) +30566899188*a(n-11) +12457260613*a(n-12) -49186967088*a(n-13) -30986023080*a(n-14) +49186967088*a(n-15) +12457260613*a(n-16) -30566899188*a(n-17) +10392502302*a(n-18) +402925572*a(n-19) -630123753*a(n-20) +1605816*a(n-21) +20124468*a(n-22) +1063944*a(n-23) -285019*a(n-24) -45276*a(n-25) -2814*a(n-26) -84*a(n-27) -a(n-28)

A268016 Number of nX4 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

Original entry on oeis.org

78, 6084, 474552, 31831908, 2012075697, 119453097281, 6761580343329, 367501986337710, 19300005472710895, 983989084426524929, 48888960624425750151, 2374418848334124952354, 113014440791056538695922

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 4 of A268019.

			Some solutions for n=2
..2..1..0..0....2..1..2..1....0..2..2..2....2..1..1..1....0..2..1..1
..2..1..0..2....0..1..0..2....1..0..2..1....2..0..2..2....2..0..1..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A268019.

A268017 Number of nX5 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

Original entry on oeis.org

222, 49284, 10941048, 2012075697, 343790697459, 54331933243657, 8093513353675817, 1146370541408659891, 155605439707891738543, 20360223838428569306453, 2580220150936262501252195

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 5 of A268019.

			Some solutions for n=2
..1..1..0..2..1....0..2..0..1..2....0..2..1..2..2....2..0..0..1..0
..1..0..1..1..1....1..2..1..2..2....1..0..1..1..0....1..0..1..0..1

R. H. Hardin, Table of n, a(n) for n = 1..38

Cf. A268019.

A268018 Number of n X 6 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

Original entry on oeis.org

622, 386884, 240641848, 119453097281, 54331933243657, 22512810387947289, 8694139636843767211, 3161840103618790632192

Offset: 1

R. H. Hardin, Jan 24 2016

nonn

Column 6 of A268019.

			Some solutions for n=1
..0..0..2..0..0..1....2..1..1..2..2..0....0..1..1..0..1..0....2..2..0..2..0..1

Cf. A268019.

cp's OEIS Frontend

A268014 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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A268013 Number of n X 1 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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A268015 Number of nX3 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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A268016 Number of nX4 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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A268017 Number of nX5 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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A268018 Number of n X 6 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

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